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Simplifying 4(2x + 3) + -1(5x + 2) = 73 Reorder the terms: 4(3 + 2x) + -1(5x + 2) = 73 (3 * 4 + 2x * 4) + -1(5x + 2) = 73 (12 + 8x) + -1(5x + 2) = 73 Reorder the terms: 12 + 8x + -1(2 + 5x) = 73 12 + 8x + (2 * -1 + 5x * -1) = 73 12 + 8x + (-2 + -5x) = 73 Reorder the terms: 12 + -2 + 8x + -5x = 73 Combine like terms: 12 + -2 = 10 10 + 8x + -5x = 73 Combine like terms: 8x + -5x = 3x 10 + 3x = 73 Solving 10 + 3x = 73 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 73 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 73 + -10 3x = 73 + -10 Combine like terms: 73 + -10 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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